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Finding the Fourth Proportional to 74,535.96, 111,822.57 and 24,618.90

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Solution

The fourth proportional to 74,535.96, 111,822.57 and 24,618.90 is: 36,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,535.96 : 111,822.57 = 24,618.90 : x
  2. Step 2: Convert to fraction form
    74,535.96/111,822.57 = 24,618.90/x
  3. Step 3: Cross multiply
    74,535.96x = 111,822.57 × 24,618.90
  4. Step 4: Simplify right side
    74,535.96x = 2,752,948,668.57
  5. Step 5: Solve for x
    x = 2,752,948,668.57/74,535.96
  6. Step 6: Final answer
    x = 36,934.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.